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Finding the Fourth Proportional to 11,235.80, 16,853.68 and 3,840.32

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Solution

The fourth proportional to 11,235.80, 16,853.68 and 3,840.32 is: 5,760.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,235.80 : 16,853.68 = 3,840.32 : x
  2. Step 2: Convert to fraction form
    11,235.80/16,853.68 = 3,840.32/x
  3. Step 3: Cross multiply
    11,235.80x = 16,853.68 × 3,840.32
  4. Step 4: Simplify right side
    11,235.80x = 64,723,524.38
  5. Step 5: Solve for x
    x = 64,723,524.38/11,235.80
  6. Step 6: Final answer
    x = 5,760.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.